A NOTE ON INNER ACTIONS OF HOPF-ALGEBRAS

被引：2

作者：

CAENEPEEL, S

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 113卷 / 01期

关键词：

AZUMAYA ALGEBRA; HOPF ALGEBRA; DIMODULE ALGEBRA;

D O I：

10.2307/2048436

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H be a commutative, cocommutative, and faithfully projective Hopf algebra over a commutative ring R. A twisted version of inner action of a Hopf algebra, called H-inner action is introduced, and it is shown that H acts H-innerly on an H-Azumaya algebra, if Pic(H*) is trivial.

引用

页码：31 / 39

页数：9

共 50 条

[1] ON INNER ACTIONS OF HOPF-ALGEBRAS AND STABILIZERS OF REPRESENTATIONS
SCHNEIDER, HJ
[J]. JOURNAL OF ALGEBRA, 1994, 165 (01) : 138 - 163
[2] CROSSED-PRODUCTS AND INNER ACTIONS OF HOPF-ALGEBRAS
BLATTNER, RJ
COHEN, M
MONTGOMERY, S
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 298 (02) : 671 - 711
[3] CROSSED-PRODUCTS AND GENERALIZED INNER ACTIONS OF HOPF-ALGEBRAS
CHIN, W
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1991, 150 (02) : 241 - 259
[4] BIINVERTIBLE ACTIONS OF HOPF-ALGEBRAS
MONTGOMERY, S
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1993, 83 (1-2) : 45 - 71
[5] ACTIONS OF COMMUTATIVE HOPF-ALGEBRAS
BERGEN, J
COHEN, M
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1986, 18 : 159 - 164
[6] IRREDUCIBLE ACTIONS AND FAITHFUL ACTIONS OF HOPF-ALGEBRAS
BERGEN, J
COHEN, M
FISCHMAN, D
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1990, 72 (1-2) : 5 - 18
[7] ACTIONS OF POINTED HOPF-ALGEBRAS ON PRIME ALGEBRAS
MILINSKI, A
[J]. COMMUNICATIONS IN ALGEBRA, 1995, 23 (01) : 313 - 333
[8] ACTIONS OF DIVIDED POWER HOPF-ALGEBRAS
CHIN, W
QUINN, D
[J]. JOURNAL OF ALGEBRA, 1991, 144 (02) : 371 - 389
[9] COMMUTATIVE HOPF-ALGEBRAS AND COCOMMUTATIVE HOPF-ALGEBRAS IN POSITIVE CHARACTERISTIC
TAKEUCHI, M
[J]. JOURNAL OF ALGEBRA, 1982, 79 (02) : 375 - 392
[10] INCIDENCE HOPF-ALGEBRAS
SCHMITT, WR
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1994, 96 (03) : 299 - 330

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